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Popular >

integral of 1 (x^2)

Solution

\int \frac{d}{1} (x^{2}) d x

Solution

\frac{d x ^{3}}{3} + C

Solution steps

\int \frac{d}{1} x^{2} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= d \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= d \frac{x ^{3}}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{d x ^{3}}{3}

Add a constant to the solution

= \frac{d x ^{3}}{3} + C

Popular Examples

integral of 1/(sqrt(12-x^2))

\int \frac{1}{12 - x ^{2}} d x

derivative of 3x^2-6x

\frac{d}{d x} (3 x^{2} - 6 x)

derivative of y=sin(pix)derivative of

y = sin (π x)

limit as x approaches-1 of (3x-7)/(2x+5)

x \to - 1 lim (\frac{3 x - 7}{2 x + 5})

limit as x approaches-infinity of 2/x+1

x \to - \infty lim (\frac{2}{x} + 1)

Frequently Asked Questions (FAQ)

What is the integral of 1 (x^2) ?
The integral of 1 (x^2) is (dx^3)/3+C